6813480073344 has 128 divisors (see below), whose sum is σ = 21397012790400. Its totient is φ = 1879580688384.

The previous prime is 6813480073327. The next prime is 6813480073423. The reversal of 6813480073344 is 4433700843186.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43625097 + ... + 43781000.

It is an arithmetic number, because the mean of its divisors is an integer number (167164162425).

Almost surely, 2^{6813480073344} is an apocalyptic number.

6813480073344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6813480073344 is an abundant number, since it is smaller than the sum of its proper divisors (14583532717056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6813480073344 is a wasteful number, since it uses less digits than its factorization.

6813480073344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87406150 (or 87406138 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 6813480073344 in words is "six trillion, eight hundred thirteen billion, four hundred eighty million, seventy-three thousand, three hundred forty-four".